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Chapter 3
The position of an object defines its location relative to a convenient frame of reference at any particular time. A frame of reference is an arbitrary ...
To calculate the other physical quantities in kinematics, we must introduce the time variable. The time variable allows us not only to state the position ...
The average velocity during a time interval cannot tell us how fast or in what direction a particle is moving at any given time during the interval. To ...
Instantaneous velocity is the quantity that measures how fast an object is moving along its path. In other words, the instantaneous velocity of an object ...
The importance of understanding acceleration spans our day-to-day experiences, as well as the vast reaches of outer space and the tiny world of subatomic ...
Acceleration is in the direction of the change in velocity, but it is not always in the direction of motion. When an object slows down, its acceleration ...
When an object moves with constant acceleration, the velocity of the object changes at a constant rate throughout the motion. The kinematic equations of ...
The second kinematic equation expresses the final position of an object in terms of its initial position, the distance traveled with the initial constant ...
The first two kinematic equations have time as a variable, but the third kinematic equation is independent of time. This equation expresses final velocity ...
When analyzing one-dimensional motion with constant acceleration, the problem-solving strategy involves identifying the known quantities and choosing the ...
All objects, neglecting air resistance, fall with the same acceleration towards the Earth's center due to the force exerted by the Earth's ...
An object falling without any air resistance under the influence of gravitational force is said to be in free-fall. For free-falling bodies, the ...
Velocity and position can be calculated from the known function of acceleration as a function of time. The total area under the acceleration-time graph ...
If acceleration as a function of time is known, then velocity and position functions can be derived using integral calculus. For constant acceleration, ...
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